Closed class of hydrodynamical solutions for the collective excitations of a Bose-Einstein condensate

被引：11

作者：

Storey, P ^{[1
]}

Olshanii, M

机构：

[1] Harvard Univ, Lyman Lab Phys, Cambridge, MA 02138 USA

[2] Univ So Calif, Dept Phys & Astron, Los Angeles, CA 90089 USA

[3] Univ Auckland, Dept Phys, Auckland, New Zealand

来源：

PHYSICAL REVIEW A | 2000年 / 62卷 / 03期

关键词：

D O I：

10.1103/PhysRevA.62.033604

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A trajectory approach is taken to the hydrodynamical treatment of collective excitations of a Bose-Einstein condensate in a harmonic trap. The excitations induced by linear deformations of the trap are shown to constitute a broad class of solutions that can be fully described by a simple nonlinear matrix equation. An exact closed-form expression is obtained for the solution describing the mode {n=0, m=+2} in a cylindrically symmetric trap, and the calculated amplitude-dependent frequency shift shows good agreement with the experimental results of the JILA group.

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页数：5

相关论文

共 15 条

[1] OBSERVATION OF BOSE-EINSTEIN CONDENSATION IN A DILUTE ATOMIC VAPOR [J].

ANDERSON, MH ;

ENSHER, JR ;

MATTHEWS, MR ;

WIEMAN, CE ;

CORNELL, EA .

SCIENCE, 1995, 269 (5221) :198-201

[2] EVIDENCE OF BOSE-EINSTEIN CONDENSATION IN AN ATOMIC GAS WITH ATTRACTIVE INTERACTIONS [J].

BRADLEY, CC ;

SACKETT, CA ;

TOLLETT, JJ ;

HULET, RG .

PHYSICAL REVIEW LETTERS, 1995, 75 (09) :1687-1690

[3] Bose-Einstein condensates in time dependent traps [J].

Castin, Y ;

Dum, R .

PHYSICAL REVIEW LETTERS, 1996, 77 (27) :5315-5319

[4]

Cornell E. A., COMMUNICATION

[5] Frequency shift and mode coupling in the nonlinear dynamics of a Bose-condensed gas [J].

Dalfovo, F ;

Minniti, C ;

Pitaevskii, LP .

PHYSICAL REVIEW A, 1997, 56 (06) :4855-4863

[6]

DALFOVO F, CONDMAT9806038

[7] BOSE-EINSTEIN CONDENSATION IN A GAS OF SODIUM ATOMS [J].

DAVIS, KB ;

MEWES, MO ;

ANDREWS, MR ;

VANDRUTEN, NJ ;

DURFEE, DS ;

KURN, DM ;

KETTERLE, W .

PHYSICAL REVIEW LETTERS, 1995, 75 (22) :3969-3973

[8] HARMONIC-POTENTIAL THEOREM - IMPLICATIONS FOR APPROXIMATE MANY-BODY THEORIES [J].

DOBSON, JF .

PHYSICAL REVIEW LETTERS, 1994, 73 (16) :2244-2247

[9] Temperature-dependent damping and frequency shifts in collective excitations of a dilute Bose-Einstein condensate [J].

Jin, DS ;

Matthews, MR ;

Ensher, JR ;

Wieman, CE ;

Cornell, EA .

PHYSICAL REVIEW LETTERS, 1997, 78 (05) :764-767

[10] Collective excitations of a Bose-Einstein condensate in a dilute gas [J].

Jin, DS ;

Ensher, JR ;

Matthews, MR ;

Wieman, CE ;

Cornell, EA .

PHYSICAL REVIEW LETTERS, 1996, 77 (03) :420-423